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Finding the Fourth Proportional to 22,139.76, 30,550.60 and 13,640.64

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Solution

The fourth proportional to 22,139.76, 30,550.60 and 13,640.64 is: 18,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,139.76 : 30,550.60 = 13,640.64 : x
  2. Step 2: Convert to fraction form
    22,139.76/30,550.60 = 13,640.64/x
  3. Step 3: Cross multiply
    22,139.76x = 30,550.60 × 13,640.64
  4. Step 4: Simplify right side
    22,139.76x = 416,729,736.38
  5. Step 5: Solve for x
    x = 416,729,736.38/22,139.76
  6. Step 6: Final answer
    x = 18,822.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.